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What kind of sequence is this?\newline3,5,8,13,3, 5, 8, 13, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Q. What kind of sequence is this?\newline3,5,8,13,3, 5, 8, 13, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 3,5,8,13,3, 5, 8, 13, \ldots\newlineAre the consecutive differences in the sequence equal? \newline53=25 - 3 = 2, \newline85=38 - 5 = 3, \newline138=513 - 8 = 5.\newlineThe consecutive differences in the sequence are not equal.
  2. Check Equal Ratios: Let's check whether the ratios between consecutive terms are equal. Given sequence: 3,5,8,13,3, 5, 8, 13, \ldots\newlineAre the ratios between consecutive terms in the sequence equal? \newline531.67\frac{5}{3} \approx 1.67, \newline85=1.6\frac{8}{5} = 1.6, \newline1381.625\frac{13}{8} \approx 1.625.\newlineThe sequence does not have a common ratio.
  3. Sequence Type: Arithmetic sequence: Consecutive terms have a common difference.dd. Geometric sequence: Consecutive terms have a common ratio.rr. 3,5,8,13,3, 5, 8, 13, \ldots What type of sequence is this? The sequence has neither a common difference nor a common ratio. It's neither an arithmetic sequence nor a geometric sequence.

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